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Finding the Fourth Proportional to 5,200.80, 7,801.20 and 4,663.20

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Solution

The fourth proportional to 5,200.80, 7,801.20 and 4,663.20 is: 6,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.80 : 7,801.20 = 4,663.20 : x
  2. Step 2: Convert to fraction form
    5,200.80/7,801.20 = 4,663.20/x
  3. Step 3: Cross multiply
    5,200.80x = 7,801.20 × 4,663.20
  4. Step 4: Simplify right side
    5,200.80x = 36,378,555.84
  5. Step 5: Solve for x
    x = 36,378,555.84/5,200.80
  6. Step 6: Final answer
    x = 6,994.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.